John is looking at several options to fund his son's 4-year university degree. The university fees of $45,000 a year will have be paid starting 11 years from today. He is analysing an insurance plan that pays out $45,000 a year for 4 years with the first payout 11 years from today. The insurance plan has several payment options: Option 1 Pay $60,000 today. Option 2 Beginning 1 year from today, pay $12,000 a year for the next 8 years. Option 3 Beginning 1 year from today, make payments each year for the next 8 years. The first payment is $11,000 and the amount increases by 5% each year. Answer the following questions regarding the options above: (a) Calculate the present value of each option. Use a 10% discount rate. (b) Analyse which option John should choose. If the discount rate is not given to you, what would be an appropriate discount rate to use? (24 marks)